# Simplify (111-100)/(22/( square root of 4))

111-100224
Multiply the numerator by the reciprocal of the denominator.
(111-100)422
Simplify the numerator.
Rewrite 4 as 22.
(111-100)2222
Pull terms out from under the radical, assuming positive real numbers.
(111-100)222
(111-100)222
Reduce the expression by cancelling the common factors.
Subtract 100 from 111.
11(222)
Cancel the common factor of 11.
Factor 11 out of 22.
11211(2)
Cancel the common factor.
11211⋅2
Rewrite the expression.
22
22
Divide 2 by 2.
1
1
Simplify (111-100)/(22/( square root of 4))

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